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All Journal JURNAL EKONOMI DAN KEBIJAKAN PEMBANGUNAN Jurnal Manajemen dan Agribisnis Jurnal Keuangan dan Perbankan TELKOMNIKA (Telecommunication Computing Electronics and Control) SEMIRATA 2015 BAREKENG: Jurnal Ilmu Matematika dan Terapan JTAM (Jurnal Teori dan Aplikasi Matematika) Jambura Journal of Mathematics International Journal of Industrial Optimization (IJIO) Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi Milang Journal of Mathematics and Its Applications Jurnal Matematika Integratif Jurnal Ekonomi dan Pembangunan Indonesia MILANG Journal of Mathematics and Its Applications
Toni Bakhtiar
Departemen Matematika, Fakultas Matematika Dan Ilmu Pengetahuan Alam, Institut Pertanian Bogor
Agriculture, Biological Sciences & Forestry Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Industrial & Manufacturing Engineering Mathematics Mechanical Engineering Physics Transportation

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PERAN EDUKASI DAN KLORINASI DALAM PENGENDALIAN PENYAKIT MENULAR: SEBUAH PENDEKATAN KONTROL OPTIMUM Bakhtiar, Toni
SEMIRATA 2015 Prosiding Bidang Matematika
Publisher : SEMIRATA 2015

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (281.917 KB)

Abstract

Dalam tulisan ini dibahas model pengendalian penyakit menular melalui pendekatan kontrol optimum. Studi kasus pengendalian penyebaran penyakit kolera ditinjau dengan menggunakan dua strategi, yaitu edukasi dan klorinasi. Model terbagi atas dua populasi yang saling berinteraksi, yaitu populasi manusia mengikuti model SIR dan populasi patogen. Prinsip maksimum Pontryagin diterapkan untuk menurunkan sistem persamaan diferensial sebagai kondisi yang harus dipenuhi variabel kontrol optimum. Metode Runge-Kutta orde-4 kemudian digunakan untuk menyelesaikan sistem persamaan diferensial tersebut. Sebuah contoh ilustratif dikemukakan untuk melihat tingkat efektivitas strategi pengendalian. Katakunci: kontrol optimum, pengendalian penyakit kolera, metode Runge-Kutta, prinsip maksimum Pontryagin
Constructing a predicting model for JCI return using adaptive network-based Fuzzy Inference System Endy Jeri Suswono; Dedi Budiman Hakim; Toni Bakhtiar
Jurnal Keuangan dan Perbankan Vol 23, No 1 (2019): January 2019
Publisher : University of Merdeka Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (880.511 KB) | DOI: 10.26905/jkdp.v23i1.2521

Abstract

The high price fluctuations in the stock market make an investment in this area relatively risky. However, higher risk levels are associated with the possibility of higher returns. Predicting models allows investors to avoid loss rate due to price fluctuations. This study uses the ANFIS (Adaptive Network-based Fuzzy Inference System) to predict the Jakarta Composite Index (JCI) return. Forecasting JCI movement is considered to be the most influential predictor, consisting of Indonesia real interest rate, real exchange rate, US real interest rate, and WTI crude oil price. The results of this study point out that the best model to predict JCI return is the ANFIS model with pi membership function. The predicting model shows that real exchange rate is the most influential factor to the JCI movement. This model is able to predict the trend direction of the JCI movement with an accuracy of 83.33 percent. This model also has better performance than the Vector Error Correction Model (VECM) based on RMSE value. The ANFIS performance is relatively satisfactory to allow investors to forecast the market direction. Thus, investors can immediately take preventive action towards any potential for turmoil in the stock market.JEL Classification: D13, I31, J22DOI: https://doi.org/10.26905/jkdp.v23i1.2521 
Nurses Scheduling by Considering the Qualification using Integer Linear Programming Maya Widyastiti; Amril Aman; Toni Bakhtiar
TELKOMNIKA (Telecommunication Computing Electronics and Control) Vol 14, No 3: September 2016
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/telkomnika.v14i3.2913

Abstract

One of problems that frequently occurs in hospital management is nurses scheduling problem. A suitable schedule is needed in order to avoid fatigue, both physically and psychologically, which subsequently may deteriorate their performance. Nurse scheduling is commonly designed by the head of nurse manually. In this research, nurse scheduling problem is modeled by considering the qualification of the nurses and the model has the form of integer linear programming. The objective of the model is to maximize the number of nurse’s day-offs. Then optimization problem is implemented to nurses scheduling in the High Care Unit and the Emergency room of Rumah Sehat Terpadu Dompet Dhuafa Parung Bogor.
FLEKSIBILITAS NILAI TUKAR DAN PENYESUAIAN TRANSAKSI BERJALAN DI INDONESIA: ANALISIS THRESHOLD VAR Farhana Zahrotunnisa; Iman Sugema; Toni Bakhtiar
JURNAL EKONOMI DAN KEBIJAKAN PEMBANGUNAN Vol 4 No 2 (2015): Jurnal Ekonomi dan Kebijakan Pembangunan
Publisher : IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1295.625 KB) | DOI: 10.29244/jekp.4.2.2015.112-139

Abstract

Estimation study about the relationship between exchange rate flexibility and current account adjustment has been through three stages, the first stage was analysis of correlation among exchange rates variability (proxied by REER and NEER) and exchange rate regimes classification. The second step was estimating the relationship that the former was mentioned with VAR as benchmark model. The third step was applying the nonlinear estimation with Threshold VAR. The results of analysis showed that exchange rate regime classification may not capture actual exchange rate variability and flexibility exchange rate can accelerate current account adjustment in Indonesia if the changes of Indonesia exchange rate less than 27.7059 (low regime) whereas in high regime exchange rate is persistent increasing so that the system between exchange rate and current account become unstable. Bank Indonesia as monetary authorities must keep the changes of exchange rate less than 27.7059, due to exchange rate can affect current account adjustment, so can anticipate if there is current account deficit in Indonesia economy.  Keywords : Exchange Rate Flexibility, Current Account Adjustment, Exchange Rate Regime, Classification, Threshold VAR
KEUNGGULAN SISTEM KEUANGAN BERBASIS BAGI HASIL DAN IMPLIKASINYA PADA DISTRIBUSI PENDAPATAN Iman Sugema; Toni Bakhtiar; Jaenal Effendi
Jurnal Keuangan dan Perbankan Vol 13, No 3 (2009): September 2009
Publisher : University of Merdeka Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (248.424 KB) | DOI: 10.26905/jkdp.v13i3.1097

Abstract

In this paper we attempted to answer a fundamental question whether banking systembased on a profi t-loss sharing (PLS) could improve welfare than an interest based banking system bydeveloping a rigorous theoretical modeling. In the framework of production technology we fi rstlyshowed that under production certainty and competitive market both PLS and interest based systemswere effi cient and right. However, under an uncertain situation due to a productivity shock,we proved that only the PLS system was right. We verifi ed our result by quantifying the effects onincome distribution for both lender and borrower. Two indicators, namely the standard error of distributionand Gini ratio were considered. We showed that the conventional credit market led to aserious income distribution problem where lenders did not enjoy the variability in income and didnot bear any risk, but in contrast, borrowers bore all the risk. On the other side, PLS system sharedthe risk between lenders and borrowers. In the end of the analysis, we proposed an instrument thatwould improve the performance of a PLS system from lenders perspective by introducing a so-calledrisk pooling mechanism.
PENJADWALAN TENAGA SUKARELAWAN DI KABUPATEN PURWOREJO MENGGUNAKAN INTEGER PROGRAMMING Amanatul Amriyah; Toni Bakhtiar; Farida Hanum; Prapto Tri Supriyo; Hidayatul Mayyani
MILANG Journal of Mathematics and Its Applications Vol. 18 No. 2 (2022): MILANG Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (334.845 KB) | DOI: 10.29244/milang.18.2.155-167

Abstract

Kabupaten Purworejo termasuk salah satu kabupaten rawan bencana di Jawa Tengah. Daerah rawan bencana membutuhkan banyak tenaga sukarelawan ketika bencana terjadi. Saat ini, sukarelawan di Kabupaten Purworejo memiliki latar belakang profesi yang beragam dan masih terbatas jumlahnya. Keberagaman profesi dan keterbatasan jumlah tersebut membutuhkan pengaturan yang baik sehingga sukarelawan dapat bekerja secara optimal. Penelitian ini membahas penjadwalan tenaga sukarelawan di Kabupaten Purworejo yang dimodelkan menggunakan integer programming. Fungsi objektif masalah ini adalah memaksimumkan preferensi sukarelawan terhadap sektor kerja, shift waktu, dan jarak antara lokasi domisili sukarelawan dengan titik lokasi bencana. Penyelesaian masalah ini menggunakan software LINGO 17.0 menghasilkan jadwal sukarelawan selama satu periode yang memenuhi semua kendala dan memaksimumkan preferensi sukarelawan.
Modeling and Control of the Extreme Ideology Transmission Dynamics in a Society Nur Azizah; Toni Bakhtiar; Paian Sianturi
Jambura Journal of Mathematics Vol 5, No 1: February 2023
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (3334.459 KB) | DOI: 10.34312/jjom.v5i1.15583

Abstract

In this work, we propose a mathematical model to analyze the spread of extreme ideology in society. The so-called SERTA model divides the entire population into five compartments, namely susceptible, extremist, recruiter, treatment, and aware, to describe the state of the willingness of community members toward extreme ideology. We first present a model with constant control, i.e., a model without a dynamical control instrument, and provide the stability analysis of its equilibrium points based on the basic reproduction number. We then reformulate the model into an optimal control framework by introducing three control variables, namely prevention, disengagement, and deradicalization, to enable intervention of the dynamical process. The optimality conditions are obtained by employing Pontryagin's maximum principle, showing the optimal interdependence of state, co-state, and control variables. Numerical simulations based on the well-known Runge-Kutta algorithm and forward-backward sweep method are carried out to evaluate the effectiveness of control strategies under different scenarios. From the simulation results, it is found that by applying the three controls, the optimum solution is obtained. Besides that, in this study, disengagement contributes the most effect in suppressing extremist and recruiter populations, both by using single control and multiple controls.
PENENTUAN RUTE DISTRIBUSI RASTRA MENGGUNAKAN ALGORITMA GENETIKA Lana Syakina; Toni Bakhtiar; Farida Hanum; Prapto Tri Supriyo
MILANG Journal of Mathematics and Its Applications Vol. 19 No. 2 (2023): MILANG Journal of Mathematics and Its Applications
Publisher : Dept. of Mathematics, IPB University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29244/milang.19.2.97-115

Abstract

Proses distribusi produk yang dilakukan oleh produsen untuk memenuhi kebutuhan konsumen sering kali melibatkan penyelesaian masalah perutean kendaraan. Vehicle routing problem (VRP) dapat digunakan untuk menentukan rute dan alokasi kendaraan agar biaya distribusi minimum. Penelitian ini membahas masalah penentuan rute distribusi beras untuk keluarga sejahtera (rastra) dari gudang penyimpanan Perum Bulog di Kabupaten Ponorogo ke beberapa desa/kelurahan. Periode pendistribusian yang diambil dalam penelitian ini hanya satu dari dua belas periode yang tersedia. Terdapat desa/kelurahan dengan permintaan yang melebihi kapasitas kendaraan, sehingga memerlukan distribusi terpisah. VRP dapat diselesaikan menggunakan metode eksak maupun heuristik. Dalam penelitian ini, metode heuristik yang digunakan adalah algoritma genetika dengan solusi awal diperoleh dari metode nearest neighbour untuk distribusi beras di Perum Bulog. Dari hasil implementasi diperoleh rute kendaraan yang meminimumkan biaya distribusi dan memenuhi semua kendala yang ada menggunakan algorima genetika dan diberikan pula hasil perbandingannya dengan solusi dari metode eksak.
Kajian Kebijakan Pengampunan Pajak dengan Pendekatan Eksperimental Kurniawan, Benny Robby; Juanda, Bambang; Bakhtiar, Toni
Jurnal Ekonomi dan Pembangunan Indonesia Vol. 19, No. 1
Publisher : UI Scholars Hub

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Abstract

This research was conducted because the uncertainty in the tax amnesty policy. The purpose of this research is to analyze the effect of taxpayer’s expectation of future tax amnesty, tariff period system, tax penalty and audit towards tax compliance in tax amnesty policy, using experimental economics. The result shows that, a tax amnesty followed by strict audit and tax penalties will rise tax compliance. Tax amnesty policy is best applied once in a lifetime, because the expectation of the taxpayers towards future tax amnesty will result in lowering the compliance. Taxpayers prefer the lowest rate on tariff period.
Masalah Antar-Jemput Barang Menggunakan Armada Kendaraan Listrik dengan Kapasitas Angkut dan Kapasitas Baterai Berbeda Rahma Nurlailawati; Toni Bakhtiar; Prapto Tri Supriyo
Jurnal Matematika Integratif Vol 19, No 2: Oktober 2023
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24198/jmi.v19.n2.48627.173-182

Abstract

Urgensi Electric Vehicle Routing Problems (EVRP) terletak pada kebutuhan untuk mengoptimalkan rute kendaraan listrik guna mengurangi emisi karbon dan dampak lingkungan. Tantangan EVRP meliputi kompleksitas perhitungan rute dengan mempertimbangkan batasan daya baterai dan infrastruktur pengisian daya yang terbatas. Di artikel ini diformulasikan masalah perutean kendaraan listrik dengan permintaan antar-jemput barang dalam bentuk pemrograman linear bilangan bulat. Model yang diajukan memiliki fitur penggunaan armada kendaraan dengan kapasitas angkut dan kapasitas baterai heterogen. Implementasi model meliputi penyelesaian masalah antar-jemput barang menggunakan armada kendaraan listrik homogen dan heterogen dengan  depot,  pelanggan,  kendaraan listrik, dan  stasiun pengisian kendaraan listrik umum. Metode eksak digunakan dalam pencarian solusi optimum dengan bantuan Lingo 17.0.
Co-Authors Amalia, Imas Saumi Amanatul Amriyah Amril Aman Amriyah, Amanatul Annisa, Winda Nur Bambang Juanda Bib Paruhum Silalahi Bustanul Arifin Cahyona, Dwizani Vinoma Dedi Budiman Hakim Endy Jeri Suswono Erliza Noor Farhana Zahrotunnisa Farida Hanum Farida Hanum Farida Hanum Ferry Syarifuddin JAENAL EFFENDI Jaharuddin Kinanti, Yoanda Astri Ayu Kurniawan, Benny Robby Lana Syakina Luciana, Shelen Maya Widyastiti Mayyani, Hidayatul Mochamad Tito Julianto Nunung Nuryartono Nur Azizah Paian Sianturi Permana, Rendy Candra Prapto Tri Supriyo Qomah, Yusti Rachman, Muhammad Ibrahim Rafif Suhairi Rahma Nurlailawati Salsabilla, Kamilia Sugema, Iman Suhairi, Rafif Syakina, Lana Tan, Elfina